Answer
$x^2y$
Work Step by Step
We use the rules of exponents and radicals to obtain:
$\displaystyle \sqrt[5]{x^{10}y^5}=(x^{10}y^{5})^{1/5}=(x^{10})^{1/5}(y^{5})^{1/5}=x^2y^1=x^2y$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding - Page 78: 20
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